Solve 14x-5+3x^2-6x^4

$$14 x - 5 + 3 x ^ { 2 } - 6 x ^ { 4 }$$

Differentiate w.r.t. x

$$14+6x-24x^{3}$$

Steps Using Derivative Rule for Sum

The derivative of a polynomial is the sum of the derivatives of its terms. The derivative of a constant term is 0. The derivative of ax^{n} is nax^{n-1}.

$$14x^{1-1}+2\times 3x^{2-1}+4\left(-6\right)x^{4-1}$$

Subtract 1 from 1.

$$14x^{0}+2\times 3x^{2-1}+4\left(-6\right)x^{4-1}$$

Multiply 2 times 3.

$$14x^{0}+6x^{2-1}+4\left(-6\right)x^{4-1}$$

Subtract 1 from 2.

$$14x^{0}+6x^{1}+4\left(-6\right)x^{4-1}$$

Multiply 2 times 3.

$$14x^{0}+6x^{1}-24x^{4-1}$$

Subtract 1 from 4.

$$14x^{0}+6x^{1}-24x^{3}$$

For any term t, t^{1}=t.

$$14x^{0}+6x-24x^{3}$$

For any term t except 0, t^{0}=1.

$$14\times 1+6x-24x^{3}$$

For any term t, t\times 1=t and 1t=t.

$$14+6x-24x^{3}$$

Evaluate

$$-6x^{4}+3x^{2}+14x-5$$